QUESTION IMAGE
Question
- toll roads the table shows the cost for traveling on a toll road in henderson. the graph shows the cost of traveling on a toll road in clarkson.
a. rate or slope for henderson toll road ____
b. rate or slope for clarkson toll road ____
c. which company has the greatest rate of change or slope? ____
henderson toll road costs
| miles traveled | cost ($) |
|---|---|
| 20 | 6 |
| 30 | 9 |
clarkson toll road costs
Step1: Calculate Henderson's slope
Slope = $\frac{\text{Change in Cost}}{\text{Change in Miles}} = \frac{6-3}{20-10} = \frac{3}{10} = 0.3$
Step2: Calculate Clarkson's slope
Slope = $\frac{\text{Change in Cost}}{\text{Change in Miles}} = \frac{4.50-3.25}{10-5} = \frac{1.25}{5} = 0.25$
Step3: Compare the two slopes
$0.3 > 0.25$, so Henderson has a greater slope.
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A. $0.3$
B. $0.25$
C. Henderson Toll Road